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Theorem bj-dvdemo2 33132
Description: Remove dependency on ax-13 2392 from dvdemo2 5053 (this removal is noteworthy since dvdemo1 5052 and dvdemo2 5053 illustrate the phenomenon of bundling). (Contributed by BJ, 16-Jul-2019.) (Proof modification is discouraged.)
Assertion
Ref Expression
bj-dvdemo2 𝑥(𝑥 = 𝑦𝑧𝑥)
Distinct variable group:   𝑥,𝑧

Proof of Theorem bj-dvdemo2
StepHypRef Expression
1 bj-el 33125 . 2 𝑥 𝑧𝑥
2 ax-1 6 . 2 (𝑧𝑥 → (𝑥 = 𝑦𝑧𝑥))
31, 2eximii 1913 1 𝑥(𝑥 = 𝑦𝑧𝑥)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wex 1853
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1871  ax-4 1886  ax-5 1989  ax-6 2055  ax-7 2091  ax-8 2142  ax-9 2149  ax-10 2169  ax-11 2184  ax-12 2197  ax-pow 4993
This theorem depends on definitions:  df-bi 197  df-an 385  df-ex 1854  df-nf 1859
This theorem is referenced by: (None)
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